Users' Mathboxes Mathbox for Jonathan Ben-Naim < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  bnj706 Structured version   Unicode version

Theorem bnj706 29566
Description:  /\-manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypothesis
Ref Expression
bnj706.1  |-  ( ps 
->  ta )
Assertion
Ref Expression
bnj706  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )

Proof of Theorem bnj706
StepHypRef Expression
1 bnj643 29561 . 2  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ps )
2 bnj706.1 . 2  |-  ( ps 
->  ta )
31, 2syl 17 1  |-  ( (
ph  /\  ps  /\  ch  /\ 
th )  ->  ta )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ w-bnj17 29493
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 189  df-an 373  df-3an 985  df-bnj17 29494
This theorem is referenced by:  bnj770  29576  bnj938  29750  bnj964  29756  bnj1001  29771  bnj1006  29772  bnj1110  29793
  Copyright terms: Public domain W3C validator